sl(4,k)的广义baby Verma模的不可约性

摘要

The irreducibility of generalized baby Verma modules was studied for sl(4, k) over prime field. By looking for the maximal weight vectors of generalized baby Verma modules, the irreducibility of generalized baby Verma modules was decided for sl(4, k) when the regular highest weight lies in the different alcoves.%研究了素特征域上李代数sl(4,k)表示中广义baby Verma模的不可约性问题.通过判别广义baby Verma模的最高权向量的存在性,给出了正则最高权落在不同室的广义baby Verma模不可约性的判断.